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If omega ne 1 is a cubic root of unit an...

If `omega ne` 1 is a cubic root of unit and `(1 + omega)^(7)` = A + B`omega`, then (A, B) equals

A

0,1

B

1,1

C

1,2

D

`-1,1`

Text Solution

Verified by Experts

The correct Answer is:
B
`(1+omega)^7=(1+omega)(1+omega)^6`
`=(1+omega)(-omega^2)^6=1+omega`
`rArr " "A+Bomega=1+omega`
`rArr" "A=1,B=1`
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